The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas

The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field

Rudy Rosas

Sección de Matemáticas

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point. © 2009 J. differential geometry.

Original language	Spanish
Pages (from-to)	337-396
Number of pages	60
Journal	Journal of Differential Geometry
Volume	83
State	Published - 1 Jan 2009

Cite this

@article{8b1063f8e403417d89a5d514bc59587a,

title = "The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field",

abstract = "We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point. {\textcopyright} 2009 J. differential geometry.",

author = "Rudy Rosas",

year = "2009",

month = jan,

day = "1",

language = "Espa{\~n}ol",

volume = "83",

pages = "337--396",

journal = "Journal of Differential Geometry",

issn = "0022-040X",

}

TY - JOUR

T1 - The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field

AU - Rosas, Rudy

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point. © 2009 J. differential geometry.

AB - We prove that the algebraicmultiplicity of a holomorphic vector field at an isolated singularity is invariant by topological equiva-lences which are differentiable at the singular point. © 2009 J. differential geometry.

M3 - Artículo

SN - 0022-040X

VL - 83

SP - 337

EP - 396

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

ER -